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Extended Future Tube Conjecture for Unipotent Subgroups
Abstract
Let Ω be the Lorentz future cone in ℝd+1 with respect to the Lorentz product and let TM be the M-fold product of the future tube T=ℝd+1+iΩ. The Lorentz group SO0(1,d) acts diagonally on TM, and its complexification SO(1,d)C acts on ℂ(d+1)× M. We prove that the domain GC· TM is a Stein manifold for any connected unipotent subgroup G of SO0(1,d).
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BibTeX
@misc{kukol2026extended,
title = {{Extended Future Tube Conjecture for Unipotent Subgroups}},
author = {Maxim Kukol},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.10214},
eprint = {2609.10214},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.10214},
}
RIS
TY - UNPB
TI - Extended Future Tube Conjecture for Unipotent Subgroups
AU - Maxim Kukol
PY - 2026
DA - 2026/09/09
PB - arXiv
DO - 10.48550/arxiv.2609.10214
UR - https://arxiv.org/abs/2609.10214
AB - Let Ω be the Lorentz future cone in ℝ^d+1 with respect to the Lorentz product and let T^M be the M-fold product of the future tube T=ℝ^d+1+iΩ. The Lorentz group SO_0(1,d) acts diagonally on T^M, and its complexification SO(1,d)^C acts on ℂ^(d+1)× M. We prove that the domain G^C· T^M is a Stein manifold for any connected unipotent subgroup G of SO_0(1,d).
ER -